Answer:
0.00110616446408
Explanation:
r = Radius of sphere = 11 μm
V = Volume = [tex]\dfrac{4}{3}\pi r^3[/tex]
[tex]\rho[/tex] = Density of pollen = 1000 kg/m³
q = Charge = − 0.550 fC
E = Electric field = 110 N/C
g = Acceleration due to gravity = 9.81 m/s²
Mass is given by
[tex]m=\rho V\\\Rightarrow m=1000\times \dfrac{4}{3}\pi (11\times 10^{-6})^3\ kg[/tex]
Force due to gravity is given by
[tex]F_g=mg\\\Rightarrow F_g=1000\times \dfrac{4}{3}\pi (11\times 10^{-6})^3\times 9.81\\\Rightarrow F_g=5.4693494471\times 10^{-11}\ N[/tex]
Electric force is given by
[tex]F_e=qE\\\Rightarrow F_e=-0.55\times 10^{-15}\times 110\\\Rightarrow F_e=-6.05\times 10^{-14}\ N[/tex]
The ratio is
[tex]\dfrac{F_e}{F_g}=\dfrac{6.05\times 10^{-14}}{5.4693494471\times 10^{-11}}\\\Rightarrow \dfrac{F_e}{F_g}=0.00110616446408[/tex]
The ratio is 0.00110616446408